Cardy algebras, sewing constraints and string-nets
DOI10.1007/s00220-021-04286-6zbMath1486.81156arXiv2009.11895OpenAlexW4207070020MaRDI QIDQ2113476
Publication date: 14 March 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.11895
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Axiomatic quantum field theory; operator algebras (81T05) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Constrained dynamics, Dirac's theory of constraints (70H45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Pencils, nets, webs in algebraic geometry (14C21) Fusion categories, modular tensor categories, modular functors (18M20)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- RCFT with defects: Factorization and fundamental world sheets
- Consistent systems of correlators in non-semisimple conformal field theory
- Cardy algebras and sewing constraints. I
- Microscopic description of 2D topological phases, duality, and 3D state sums
- Quantum computation with Turaev-Viro codes
- TFT construction of RCFT correlators. III: Simple currents
- TFT construction of RCFT correlators. IV: Structure constants and correlation functions
- Closed/open string diagrammatics
- Open-closed field algebras
- Uniqueness of open/closed rational CFT with given algebra of open states
- Cardy condition for open-closed field algebras
- Two-dimensional conformal geometry and vertex operator algebras
- TFT construction of RCFT correlators. II: Unoriented world sheets
- Arc operads and arc algebras
- The logarithmic Cardy case: boundary states and annuli
- TFT construction of RCFT correlators. I: Partition functions
- CFT correlators for Cardy bulk fields via string-net models
- Cardy algebras and sewing constraints. II
- Non-degeneracy conditions for braided finite tensor categories
- Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras
- Full field algebras
- Open-string vertex algebras, tensor categories and operads
- Modular invariance for conformal full field algebras
- Geometric interpretation of vertex operator algebras.
- On the Structure of Modular Categories
- DECOMPOSING THE TUBE CATEGORY
- Tensor Categories
- DIFFERENTIAL EQUATIONS AND INTERTWINING OPERATORS
This page was built for publication: Cardy algebras, sewing constraints and string-nets